A Short Note on the Common Fixed Points of the Geraghty Contraction of Type ES,T

In this paper, we propose a new contraction type for two self-mappings and investigate the necessary conditions for the existence and uniqueness of coincidence points and common fixed points, respectively. We put some examples to illustrate our main results.

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Bibliographic Details
Published inDemonstratio mathematica Vol. 51; no. 1; pp. 233 - 240
Main Authors Alqahtani, Badr, Fulga, Andreea, Karapınar, Erdal
Format Journal Article
LanguageEnglish
Published De Gruyter 01.09.2018
Subjects
47H10
54H25
E-contraction
Geraghty contraction of type ES,T
Geraghty type contraction
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Summary:In this paper, we propose a new contraction type for two self-mappings and investigate the necessary conditions for the existence and uniqueness of coincidence points and common fixed points, respectively. We put some examples to illustrate our main results.
ISSN:2391-4661
DOI:10.1515/dema-2018-0019